Just from memory
Last 2 of Q3
Last Q from Q5
Those I didn't even understand with solutions, but a lot more were tricky that I only got after I read solutions
I got 58/80 for that exam while in some others i got like 70,72,74 but on average i get like 67ish
Q3 d)i) One stationary point implies that g'(x) only intersects the x-axis once. Hence, its discriminant is zero and you solve for the value of c.
ii) let x=a be the point where the stationary point occurs. g'(a)=0, and from this you can work out the value of a. Then, using g(a)=a you can also work out the value of k.
Q5 f) you want to solve dT/dx=0 for k, given that x=sqrt(7)/2
This gives you a value of k, however note from the equation in 5c that as k increases the time it takes to swim up the river also increases. Thus, for any value of k bigger than this, the fastest route will still be for Tasmania Jones to run directly to the desalination plant. Hence, k is greater than or equal to the value you found.